Finding the Third Proportional to 172.23 and 367.56

Step by Step Solution

1. Step 1: Write the proportion equation
   172.23 : 367.56 = 367.56 : x
2. Step 2: Convert to fraction form
   172.23/367.56 = 367.56/x
3. Step 3: Cross multiply
   172.23x = 367.56 × 367.56
4. Step 4: Simplify right side
   172.23x = 135,099.32
5. Step 5: Solve for x
   x = 135,099.32/172.23
6. Step 6: Final answer
   x = 784.41